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Characterization of the community structure in a large-scale production network in Japan

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  • Chakraborty, Abhijit
  • Krichene, Hazem
  • Inoue, Hiroyasu
  • Fujiwara, Yoshi

Abstract

Inter-firm organizations, which play a driving role in the economy of a country, can be represented in the form of a customer–supplier network. Such a network exhibits a heavy-tailed degree distribution, disassortative mixing and a prominent community structure. We analyze a large-scale data set of customer–supplier relationships containing data from one million Japanese firms. Using a directed network framework, we show that the production network exhibits the characteristics listed above. We conduct detailed investigations to characterize the communities in the network. The topology within smaller communities is found to be very close to a tree-like structure but becomes denser as the community size increases. A large fraction (∼40%) of firms with relatively small in- or out-degrees have customers or suppliers solely from within their own communities, indicating interactions of a highly local nature. The interaction strengths between communities as measured by the inter-community link weights follow a highly heterogeneous distribution. We further present the statistically significant over-expressions of different prefectures and sectors within different communities.

Suggested Citation

  • Chakraborty, Abhijit & Krichene, Hazem & Inoue, Hiroyasu & Fujiwara, Yoshi, 2019. "Characterization of the community structure in a large-scale production network in Japan," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 210-221.
    • Handle: RePEc:eee:phsmap:v:513:y:2019:i:c:p:210-221
    DOI: 10.1016/j.physa.2018.08.175
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    1. Abhijit Chakraborty & Hiroyasu Inoue & Yoshi Fujiwara, 2020. "Economic complexity of prefectures in Japan," PLOS ONE, Public Library of Science, vol. 15(8), pages 1-13, August.
    2. Abhijit Chakraborty & Yuichi Kichikawa & Takashi Iino & Hiroshi Iyetomi & Hiroyasu Inoue & Yoshi Fujiwara & Hideaki Aoyama, 2018. "Hierarchical communities in the walnut structure of the Japanese production network," PLOS ONE, Public Library of Science, vol. 13(8), pages 1-25, August.
    3. Abhijit Chakraborty & Hiroyasu Inoue & Yoshi Fujiwara, 2020. "Economic complexity of prefectures in Japan," Papers 2002.05785, arXiv.org, revised Aug 2020.
    4. Abhijit Chakraborty & Yuichi Ikeda, 2020. "Bow-tie structure and community identification of global supply chain network," Papers 2003.02343, arXiv.org.
    5. Hazem KRICHENE & ARATA Yoshiyuki & Abhijit CHAKRABORTY & FUJIWARA Yoshi & INOUE Hiroyasu, 2018. "How Firms Choose their Partners in the Japanese Supplier-Customer Network? An application of the exponential random graph model," Discussion papers 18011, Research Institute of Economy, Trade and Industry (RIETI).

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